Finding the Third Proportional to 97,961.25 and 146,561.25

Step by Step Solution

1. Step 1: Write the proportion equation
   97,961.25 : 146,561.25 = 146,561.25 : x
2. Step 2: Convert to fraction form
   97,961.25/146,561.25 = 146,561.25/x
3. Step 3: Cross multiply
   97,961.25x = 146,561.25 × 146,561.25
4. Step 4: Simplify right side
   97,961.25x = 21,480,200,001.56
5. Step 5: Solve for x
   x = 21,480,200,001.56/97,961.25
6. Step 6: Final answer
   x = 219,272.42